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Finding the Fourth Proportional to 357,211.18, 492,949.70 and 196,068.97

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Solution

The fourth proportional to 357,211.18, 492,949.70 and 196,068.97 is: 270,574.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,211.18 : 492,949.70 = 196,068.97 : x
  2. Step 2: Convert to fraction form
    357,211.18/492,949.70 = 196,068.97/x
  3. Step 3: Cross multiply
    357,211.18x = 492,949.70 × 196,068.97
  4. Step 4: Simplify right side
    357,211.18x = 96,652,140,311.91
  5. Step 5: Solve for x
    x = 96,652,140,311.91/357,211.18
  6. Step 6: Final answer
    x = 270,574.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.